TY - JOUR
T1 - Multiple-scattering corrections to the extended x-ray absorption fine structure
AU - Rehr, J. J.
AU - Stern, Edward A.
PY - 1976
Y1 - 1976
N2 - Multiple-scattering corrections to the extended x-ray absorption fine structure (EXAFS) are investigated using exactly solvable, one-dimensional model systems with a Bloch wave basis, together with expansions appropriate to three dimensions. These one-dimensional models exhibit EXAFS analogous to that observed in real solids, yet their solutions lack many of the complications of full three-dimensional calculations. In particular the models enable one to examine to all orders forward multiple-scattering effects, which lead to nonphysical divergences in ordinary perturbation theory. We find that the exact EXAFS spectra are characterized by "renormalized" values of the electron wave number k and the phase shift δ. However, for the first shell, multiple-scattering effects are absent altogether, and the unrenormalized parameters are correct. Contrary to the situation in low-energy-electron diffraction, these renormalized values cannot in general be realized by suitable adjustment of the inner potential.
AB - Multiple-scattering corrections to the extended x-ray absorption fine structure (EXAFS) are investigated using exactly solvable, one-dimensional model systems with a Bloch wave basis, together with expansions appropriate to three dimensions. These one-dimensional models exhibit EXAFS analogous to that observed in real solids, yet their solutions lack many of the complications of full three-dimensional calculations. In particular the models enable one to examine to all orders forward multiple-scattering effects, which lead to nonphysical divergences in ordinary perturbation theory. We find that the exact EXAFS spectra are characterized by "renormalized" values of the electron wave number k and the phase shift δ. However, for the first shell, multiple-scattering effects are absent altogether, and the unrenormalized parameters are correct. Contrary to the situation in low-energy-electron diffraction, these renormalized values cannot in general be realized by suitable adjustment of the inner potential.
UR - http://www.scopus.com/inward/record.url?scp=0000757924&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.14.4413
DO - 10.1103/PhysRevB.14.4413
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AN - SCOPUS:0000757924
SN - 0163-1829
VL - 14
SP - 4413
EP - 4419
JO - Physical Review B
JF - Physical Review B
IS - 10
ER -